what is the sum of 2/x+3/x-2

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LlAeneaSllviz LlAeneaSllviz · Answer 1

2/x + 3/(x-2)
= 2(x-2)/(x^2-2x) + 3x/(x^2-2x)
= (2x-4) + 3x / (x^2-2x)

= (5x - 4) / (x^2-2x)

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BronywynLoveviz BronywynLoveviz · Answer 2

Combine fractions with similar denominators.

[tex] - 2 + \frac{2 + 3}{x} [/tex]

Add 2 and 3

[tex] - 2 + \frac{5}{x} [/tex]

To write – 2 as a fraction with a common denominator,multiply by x/x

[tex] - 2 .\frac{x}{x} + \frac{5}{x} [/tex]

Combine –2 and x/x

[tex] - \frac{2x}{x} + \frac{5}{x} [/tex]

Combine the numerators over the common denominator

[tex] \frac{ - 2x + 5}{x} [/tex]

Factor – 1 out of – (2x) – 1 (–5).

[tex] - \frac{(2x) + 5}{x} [/tex]

Factor −1 out of −(2x)−1(−5).

[tex] - \frac{(2x - 5)}{x} [/tex]

Simplify the expression

Rewrite −(2x−5) as −1(2x−5)

[tex] \frac{ - 1(2x - 5)}{x} [/tex]

Move the negative infront of yhe fraction

[tex] - \frac{ 2x - 5}{x} [/tex]

[tex] - \frac{2 \times - 5}{x} [/tex]

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